Theorems · Theorem · linear algebra
Finsupp.domLCongr_single
∀ {M : Type u_2} {R : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {α₁ : Type u_9}
{α₂ : Type u_10} (e : α₁ ≃ α₂) (i : α₁) (m : M), ((Finsupp.domLCongr e) fun₀ | i => m) = fun₀ | e i => m- Defined in
- Mathlib.LinearAlgebra.Finsupp.LSum
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- Finsupp.singlestatement and proof · cited by 943
- Finsupp.domLCongrstatement · cited by 20
- Finsupp.domCongr_applyproof · cited by 13
- Finsupp.equivMapDomain_singleproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- groupHomology.comp_d₂₁_eqproof · cited by 10
- Module.Basis.reindex_applyproof · cited by 7
- groupHomology.comp_d₃₂_eqproof · cited by 6